Q. 63.7( 3 Votes )
In a triangle, one angle is of 90°. Then
(i) The other two angles are of 45° each
(ii) In remaining two angles, one angle is 90° and other is 45°
(iii) Remaining two angles are complementary
In the given option(s) which is true?
A. (i) only
B. (ii) only
C. (iii) only
D. (i) and (ii)
Answer :
Given: In triangle one angle is 90°
Formula Used/Theory:-
Sum of angles of triangle is 180°
⇒ Moving to 1st option
The other two angles are of 45° each
This can be happen only if triangle is isosceles right angle Δ
∴ this can be but not necessary every time
⇒ Moving to 2nd option
In remaining two angles, one angle is 90° and other is 45°
This cannot be possible because angle sum of triangle is beyond 180° which is not possible
⇒ Moving to 3rd option
Remaining two angles are complementary
As one angle is 90° and sum of angles of triangle is 180°
∴ the sum of both angle is always 90°
∴ only 3rd statement is correct.
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